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When coproducts are biproducts
Published online by Cambridge University Press: 19 February 2016
Abstract
Among monoidal categories with finite coproducts preserved by tensoring on the left, we characterise those with finite biproducts as being precisely those in which the initial object and the coproduct of the unit with itself admit right duals. This generalises Houston's result that any compact closed category with finite coproducts admits biproducts.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 1 , July 2016 , pp. 47 - 51
- Copyright
- Copyright © Cambridge Philosophical Society 2016
References
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